We're dividing 378523 by 59 
We want to figure out the number of times 378523 can be divided by 59.

Let's proceed to step 1:
59 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 59

Moving on to step 2:
The number 59 fits into 37 0 times, leaving a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Include the next digit (8) from the dividend after 37, then repeat: 378 / 59

Advancing to step 3:
The number 59 fits into 378 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 24 after subtracting 354 from 378.
Take the next digit (5) from the dividend and append it to 24, then repeat: 245 / 59

Advancing to step 4:
If we divide 245 by 59, we get 4 and a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
If we take 236 away from 245, we end up with 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 59

On to step 5:
The number 59 fits into 92 1 times, leaving a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 641.0
If we take 59 away from 92, we end up with 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 59

Step 6:
59 goes into 333 5 times with a remainder of 38.
The next digit of our result is 5. 
Result so far: 6415.0
Deduct 295 from 333 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
59 can be fit into 380 6 times, resulting in a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 6415.6
Subtract 354 from 380 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 8:
The number 59 fits into 260 4 times, leaving a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 6415.64
The remainder is 24 after subtracting 236 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
59 can be fit into 240 4 times, resulting in a remainder of 4.
The next digit of our result is 4. 
Result so far: 6415.644
The remainder is 4 after subtracting 236 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 6415.644 and a remainder of 0.0004.